A balancing method for reduced order modelling of unstable systems
type: Item
instance of: scholarly article
title: A balancing method for reduced order modelling of unstable systems
zbMATH Open document ID: 0731.93008
DOI: 10.1016/0895-7177(90)90219-D
author: Rajiva Prakash
author: S. V. Rao
published in: Mathematical and Computer Modelling
publication date: 1990-01-01T00:00:00Z
review text: Moore's balancing method of model reduction has many attractive properties but it suffers from the drawback that it is not applicable to unstable systems. In this paper, a balancing method of model reduction is presented for linear time invariant multi-input multi-output systems, which may be stable or unstable. The approach adopted is to balance and truncate the frequency domain Gramians. The basic philosophy of model reduction in the proposed method is the same as the conventional Moore's technique, but with the difference that the two techniques are based on two different types of Gramians. A numerical example is used to demonstrate the new approach.
reviewed by: D. Cusmir
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 93B11
zbMATH DE Number: 4209954
zbMATH Keywords: Moore's balancing method
zbMATH Keywords: model reduction
zbMATH Keywords: numerical example
MaRDI profile type: Publication
cites work: Principal component analysis in linear systems: Controllability, observability, and model reduction
cites work: All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
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description: scientific article; zbMATH DE number 4209954